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Finding the Third Proportional to 190,605 and 280,363.50

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Solution

The third proportional to 190,605 and 280,363.50 is: 412,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,605 : 280,363.50 = 280,363.50 : x
  2. Step 2: Convert to fraction form
    190,605/280,363.50 = 280,363.50/x
  3. Step 3: Cross multiply
    190,605x = 280,363.50 × 280,363.50
  4. Step 4: Simplify right side
    190,605x = 78,603,692,132.25
  5. Step 5: Solve for x
    x = 78,603,692,132.25/190,605
  6. Step 6: Final answer
    x = 412,390.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.